On the relation between constant positive linear dependence condition and quasinormality constraint qualification

被引：111

作者：

Andreani, R ^{[1
]}

Martinez, JM ^{[1
]}

Schuverdt, M ^{[1
]}

机构：

[1] Univ Estadual Campinas, IMECC, Campinas, SP, Brazil

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2005年 / 125卷 / 02期

关键词：

nonlinear programming; constraint qualifications; CPLD condition; quasinormality;

D O I：

10.1007/s10957-004-1861-9

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The constant positive linear dependence (CPLD) condition for feasible points of nonlinear programming problems was introduced by Qi and Wei (Ref. 1) and used in the analysis of SQP methods. In that paper, the authors conjectured that the CPLD could be a constraint qualification. This conjecture is proven in the present paper. Moreover, it is shown that the CPLD condition implies the quasinormality constraint quali. cation, but that the reciprocal is not true. Relations with other constraint quali. cations are given.

引用

页码：473 / 485

页数：13

共 10 条

[1]

Bertsekas D., 1999, NONLINEAR PROGRAMMIN

[2] Pseudonormality and a Lagrange multiplier theory for constrained optimization [J].